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132063355512 = 2332111677571319
BaseRepresentation
bin111101011111110010…
…1101110001001111000
3110121212201111120021100
41322333211232021320
54130431204334022
6140400304011400
712353440000044
oct1727745561170
9417781446240
10132063355512
115100a359720
1221717900b60
13c5b850225a
14656b537024
15367e08d1ac
hex1ebf96e278

132063355512 has 192 divisors, whose sum is σ = 393340147200. Its totient is φ = 39696894720.

The previous prime is 132063355447. The next prime is 132063355517. The reversal of 132063355512 is 215553360231.

132063355512 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 633 + 5 + 5 + 5 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132063355517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100123189 + ... + 100124507.

It is an arithmetic number, because the mean of its divisors is an integer number (2048646600).

Almost surely, 2132063355512 is an apocalyptic number.

132063355512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132063355512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196670073600).

132063355512 is an abundant number, since it is smaller than the sum of its proper divisors (261276791688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132063355512 is a wasteful number, since it uses less digits than its factorization.

132063355512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 132063355512 in words is "one hundred thirty-two billion, sixty-three million, three hundred fifty-five thousand, five hundred twelve".